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New Accounting Pronouncements (Details) - Accounting Standards Update 2016-09 [Member] - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 25, 2018
Feb. 25, 2018
Feb. 26, 2017
Recognized tax windfall benefits related to the exercise of stock-based awards $ 6.6 $ 26.8  
Reclassification of recognized tax windfall benefits related to the exercise of stock-based awards from financing activities to operating activities   26.8 $ 65.1
Reclassification of employee tax withholdings on stock-based awards from operating activities to financing activities   $ 21.4 $ 35.2